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Finding the Third Proportional to 311,954 and 682,080

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Solution

The third proportional to 311,954 and 682,080 is: 1,491,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,954 : 682,080 = 682,080 : x
  2. Step 2: Convert to fraction form
    311,954/682,080 = 682,080/x
  3. Step 3: Cross multiply
    311,954x = 682,080 × 682,080
  4. Step 4: Simplify right side
    311,954x = 465,233,126,400
  5. Step 5: Solve for x
    x = 465,233,126,400/311,954
  6. Step 6: Final answer
    x = 1,491,351.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.